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6/12 roof pitch in degrees

A 6/12 roof pitch is 26.5651°. That is a 50.00% grade, a slope ratio of 1 : 2, and a rafter factor of 1.118034, and the angle is irrational so it carries the ≈.

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ROOF ANGLE 0.4636 RAD

26.5651°

PERCENT GRADE50.00%
SLOPE RATIO 1 : n1 : 2
RISE PER 126
RAFTER FACTOR1.118034

Multiply your run by 1.118034 for the rafter length. The cuts and the birdsmouth are in the app.

angle = atan(rise ÷ 12) atan(6 ÷ 12) = 26.5651° RISE PER 12 IN OF RUN

Rafter length at 6/12, by span

Run is half the span on a symmetrical gable. Length is along the rafter, before any birdsmouth, ridge or tail is taken off.

Building spanRunRafter lengthDecimal feet
20 ft10 ft11' 2-3/16"11.180 ft
24 ft12 ft13' 5"13.416 ft
28 ft14 ft15' 7-13/16"15.652 ft
32 ft16 ft17' 10-11/16"17.889 ft
36 ft18 ft20' 1-1/2"20.125 ft

Every row is the run multiplied by 1.118034, the rafter factor for 6/12. The same figure for every pitch is on the full roof pitch chart.

What 6/12 means on the roof

Six in twelve is the most common residential roof pitch in the United States, and it is usually taken as the top of what is comfortably walkable. Past here most roofers start reaching for jacks.

The working is the arctangent of the rise over the run: atan(6 ÷ 12) = 26.5651°. The rafter factor is the hypotenuse of the same triangle over its base, √(12² + 6²) ÷ 12, which is why multiplying any run by 1.118034 gives the rafter. That figure is the roof pitch multiplier, and it is the same number whatever the size of the roof.

Shingle slope limits quoted here are from the IRC, the United States model code. Your state, province or county may amend them, and several do.

The pitch solved. The roof framed.

This page gives you the angle and the factor. The Sawline app turns them into plumb, seat and cheek cuts, hip and jack schedules and the material list, saved in a project that works with no signal. One purchase, no account.

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